Random walk on a 2D anisotropic percolation network

Eduardo R Reyes, Manuel O Cáceres and Pedro A Pury

Physica A: Statistical Mechanics and its Applications, 1998, vol. 258, issue 1, 1-4

Abstract: We have studied the variance of a random walk on 2D anisotropic random percolation networks. The problem has been worked out by introducing a generalization of the effective medium approximation. A set of coupled non-linear self-consistent equations must be solved to find the effective rates in each direction. Here we have solved a particular 2D model in its dc-limit. Monte Carlo simulations have been made to show the agreement with our theoretical predictions.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:258:y:1998:i:1:p:1-4

DOI: 10.1016/S0378-4371(98)00239-8

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